Korean Journal of Computational Design and Engineering (한국CDE학회논문집)

Society for Computational Design and Engineering (한국CDE학회)
권호 표지

A Study on Surface Flattening for 3 Dimensional Shoe Pattern Design

신발패턴의 3차원 설계를 위한 곡면의 평면전개에 관한 연구

  • 송성재 (원주대학 동력기계과) ;
  • 김성환 (서울산업대학교 기계설계자동화공학부)
  • Published : 2004.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, a method for generating the planar developments of three-dimensional shoe upper surfaces is proposed. This method is based on the optimization technique minimizing the geometric error occurred on the developed planar surface. Additionally, a rapid mapping algorithm to transform a curve on flattened plane to original surface (or vice versa) is proposed. These techniques are implemented on the 2D/3D integrated shoe design system. Using this system, a prototype running shoe can be designed more precisely and can be manufactured more quickly.

Keywords

References

  1. Lee, K., Principles of CAD/CAM/CAE Systems, Addison Wesley, 1999
  2. Carmo, M. P. D., Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs. NJ, USA, 1976
  3. Shimada, T. and Tada, Y, 'Approximate transformation of an arbitrary curved surface into a plane using dynamic programming,' Computer Aided Design, Vol.23, No.2, pp. 153-159, 1991 https://doi.org/10.1016/0010-4485(91)90006-I
  4. Parida, L. and Mudun, S. P., 'Constraint-satisfy planar development of complex surfaces,' Computer Aided Design, Vol. 25, No.4, pp. 225-232, 1993 https://doi.org/10.1016/0010-4485(93)90053-Q
  5. Elber, G., 'Model fabrication using surface layout projection,' Computer Aided Design, Vol. 27, No.4, pp. 283-291, 1995 https://doi.org/10.1016/0010-4485(95)91138-B
  6. Hoschek, J., 'Approximation of surfaces of revolution by developable surfaces,' Computer Aided Design, Vol.30, No.10, pp.757-763, 1998
  7. Bodduluri, R. M. C. and Ravani, B., 'Design of developable surfaces using duality between plane and point geometries,' Computer Aided Design, Vol.25, No.10, pp.621-632, 1993 https://doi.org/10.1016/0010-4485(93)90017-I
  8. Hinds, B. K., McCartney, J. and Woods, G., 'Pattern development for 3D surfaces,' Computer Aided Design, Vol. 23, No.8, pp. 583-592, 1991 https://doi.org/10.1016/0010-4485(91)90060-A
  9. Azariadis, P. and Aspragathos, N., 'Design of plane developments of doubly curved surfaces,' Computer Aided Design, Vol.29, No.10, pp. 675-685, 1997 https://doi.org/10.1016/S0010-4485(97)00013-4
  10. Azariadis, P., Nearchou, A. and Aspragathos, N., 'An evolutionary algorithm for generating planar developments of arbitrarily curved surfaces,' Computers in Industry, Vol. 47, No.3, pp. 357-368, 2002
  11. Fan, J., Wang, Q., Chen, S., Yuen, M. and Chan, C., 'A spring-mass model-based approach for warping cloth patterns on 3D objects,' Journal of Visualization and Computer Animation, Vol. 9, Issue 4, October/December pp. 215-227, 1998
  12. Wang, C., Smith, S. and Yuen, M., 'Surface tlattening based on energy model,' Computer Aided Design, Vol. 34, pp. 823-833, 2002
  13. Maillot, J., Yashia, H. and Verroust, A., 'Interactive texture mapping,' Proc SIGGRAPH 93, Anheim, CA, 1-6 August, pp. 27-34, 1993
  14. 조정범, '구두 패턴 설계를 위한 자유곡면의 펼침 알고리즘에 대한 연구,' 석사학위 논문, 서울대학교 대학원 기계항공공학, 2002
  15. Faires, J. D. and Burden, R. L., Numerical Methods, International Thomson Publishing, 1996
  16. Kundert, K. S. and Sangiovanni-Vincentelli A Sparse User's Guide A Sparse Linear Equation Solver, Dept. of Electrical Engineering and Computer Sciences, D.C. Berkeley, 1988
  17. Horowitz, E. and Sahni, S., Fundamentals of Data Structure, Computer Science Press, 1983
  18. Farin, G. and Hansford, D., The Essentials of CAGD, AK Peters, Ltd., 2000